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moongazer Group Title

If tan (theta) =5/4 and cos (theta) < 0 . Find the other trig. functions. Could someone check my answers?

  • 2 years ago
  • 2 years ago

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  1. moongazer Group Title
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    am I right that theta is in quadrant 3 ?

    • 2 years ago
  2. Silent_Sorrow Group Title
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    Yup, so Sin (theta) < 0 as well

    • 2 years ago
  3. moongazer Group Title
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    Could you show your answers so that I can check my answers?

    • 2 years ago
  4. waterineyes Group Title
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    No.. you should give your answers so that we can check.. Go ahead..

    • 2 years ago
  5. moongazer Group Title
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    ok

    • 2 years ago
  6. moongazer Group Title
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    \[\sin \theta =(-5\sqrt{41})/41\] \[\cos \theta = (-4\sqrt{41})/41\] \[\tan \theta = 5/4\] \[\csc \theta = -\sqrt{41}/5\] \[\sec \theta =-\sqrt{41}/4\] \[\cot \theta = 4/5\]

    • 2 years ago
  7. moongazer Group Title
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    Am I correct?

    • 2 years ago
  8. Silent_Sorrow Group Title
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    |dw:1341743660142:dw| Just remember "All Science Teachers Crazy" so in the first quad all trig functions are positive, in the 2nd all Sine functions are positive, in the 3rd all Tangent functions are positive so in the 4th all Cosine functions are positive.

    • 2 years ago
  9. moongazer Group Title
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    Are all my answers correct?

    • 2 years ago
  10. moongazer Group Title
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    Could someone check it?

    • 2 years ago
  11. moongazer Group Title
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    @mathslover Are my answers correct?

    • 2 years ago
  12. mathslover Group Title
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    when cos theta is negative then theta lies in 2nd quadrant ..

    • 2 years ago
  13. moongazer Group Title
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    @mathslover why?

    • 2 years ago
  14. mathslover Group Title
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    please wait

    • 2 years ago
  15. moongazer Group Title
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    ok thanks :)

    • 2 years ago
  16. mathslover Group Title
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    Remember this :Quadrant 1: Cosine is positive and Sine is positive. (x > 0 ; y > 0) just as ( cos(theta) > 0 ; sin(theta) > 0) Quadrant 2: Cosine is negative and Sine is positive. (x < 0; y > 0) just as ( cos(theta) < 0 ; sin(theta) > 0) Quadrant 3: Cosine is negative and Sine is negative. (x < 0 ; y < 0) just as ( cos(theta) < 0 ; sin(theta)< 0) Quadrant 4: Cosine is positive and Sine is negative. ( x > 0 ; y < 0 ) just as ( cos(theta) > 0 ; sin(theta) < 0)

    • 2 years ago
  17. mathslover Group Title
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    @moongazer

    • 2 years ago
  18. moongazer Group Title
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    I am here

    • 2 years ago
  19. mathslover Group Title
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    So did u get that quadrant 2 : cos theta is negative ?

    • 2 years ago
  20. moongazer Group Title
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    i'm still reading it :)

    • 2 years ago
  21. mathslover Group Title
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    Take ur time

    • 2 years ago
  22. moongazer Group Title
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    But in quadrant 3 cos theta is also negative so why I can't choose it as the location of theta?

    • 2 years ago
  23. moongazer Group Title
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    isn't it that tan theta is positive in quadrant 3 and according to the given tan theta is positive. So choosing that theta is in quadrant 3 is better?

    • 2 years ago
  24. mathslover Group Title
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    oh yes u r also right but i am not perfect in this topic may be @lalaly do it for u

    • 2 years ago
  25. moongazer Group Title
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    @lalaly My answers are correct right?

    • 2 years ago
  26. lalaly Group Title
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    u can describe this as a right triangle \[\tan (\theta)=\frac{opposite}{adjacent}=\frac{5}{4}\]so from this u know that opposite=5 and adjacent =4 |dw:1341746704835:dw|

    • 2 years ago
  27. lalaly Group Title
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    now use those values to find the ratios for the other trig functions

    • 2 years ago
  28. moongazer Group Title
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    But isn't it I can also view as|dw:1341747710304:dw|

    • 2 years ago
  29. moongazer Group Title
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    Are my answers right or wrong?

    • 2 years ago
  30. ash2326 Group Title
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    @moongazer you are correct :D

    • 2 years ago
  31. moongazer Group Title
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    @ash2326 Thanks for that!

    • 2 years ago
  32. ash2326 Group Title
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    you wanna see, the pic I made to check this?

    • 2 years ago
  33. moongazer Group Title
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    ok, let me see it :)

    • 2 years ago
  34. ash2326 Group Title
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    here it is

    • 2 years ago
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  35. moongazer Group Title
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    That is also what I am thinking :)

    • 2 years ago
  36. ash2326 Group Title
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    Yay:D

    • 2 years ago
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